By Peter G. Anderson (auth.), Professor Gerald E. Bergum, Professor Andreas N. Philippou, Professor Alwyn F. Horadam (eds.)
This publication comprises forty three papers shape one of the fifty five papers offered on the 6th overseas convention on Fibonacci Numbers and Their functions which was once held at Washington nation collage, Pullman, Washington, from July 18-22, 1994. those papers were chosen after a cautious evaluation via popular referees within the box, and so they diversity from undemanding quantity conception to likelihood and records. The Fibonacci numbers and recurrence kinfolk are their unifying bond. it really is expected that this booklet, like its 5 predecessors, can be invaluable to investigate employees and graduate scholars drawn to the Fibonacci numbers and their functions. October 30, 1995 The Editors Gerald E. Bergum South Dakota kingdom college Brookings, South Dakota, U.S.A. Alwyn F. Horadam college of recent England Armidale, N.S.W., Australia Andreas N. Philippou 26 Atlantis road Aglangia, Nicosia Cyprus xxi THE ORGANIZING COMMITTEES neighborhood COMMITTEE overseas COMMITTEE lengthy, Calvin T., Co-Chair Horadam, A.F. (Australia), Co-Chair Webb, William A., Co-Chair Philippou, A.N. (Cyprus), Co-Chair Burke, John Ando, S. (Japan) DeTemple, Duane W.
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Extra info for Applications of Fibonacci Numbers: Volume 6 Proceedings of ‘The Sixth International Research Conference on Fibonacci Numbers and Their Applications’, Washington State University, Pullman, Washington, U.S.A., July 18–22, 1994
6 (1978) pp. 957-1041.  Pohlmann, Ken C. The Compact Disk: A. Handbook of Theory and Use. , Madison, WI, 1989.  Sjooblom, Lenna. " Playboy, Issue 19(11), (1972): pp. 135-141. , Teukolsky, Saul A. and Vetterling, William T. Numerical Recipes in Q. Cambridge University Press, 1988. D. Thesis, RIT, 1994.  Stein, Adam. RIT Master's Project, 1994. W. Introduction to Matrix Computation, Academic Press, 1973.  Srinivasan, Uma. "  Swires, Alan. RIT Master's Project, 1992.  Ulichney, Robert.
Let 0 be constructed in such a way that all of 547 positions in H are totally replaced by orange colored circles. Arrange the three hexagons B, Wand 0 side by side as shown in Figure 3 on Pascals triangle with the vertices connected by a unit distance of the triangular lattice points of binomial coefficients on Pascals triangle. S. ANDO AND D. SATO 36 GCD - COVERING HEXAGONS G(B, W,O) N =(~) Figure 3 B GCD(B U W) = Black, W = White, 0 = Orange =GCD(B U 0) =GCD(W U 0) =GCD(B U W U 0) It is clear that the union of any two of the three hexagons D, Wand 0 covers the third hexagon with respect to GCD.
The relations "A covers B with respect to GCD" and "A covers B with respect to LCM" are not symmetric relations. MULTIPLE COLOR VERSION OF THE STAR OF DAVID THEOREMS ... 35 In order to obtain an equivalence relation we require the symmetric property. Definition 2: Two sets A and B are said to be equivalent with respect to GCD (or GCDequivalent) if A covers Band B covers A with respect to GCD. Definition 3: Two sets A and B are said to be equivalent with respect to LCM (or LCMequivalent) if A covers Band B covers A with respect to LCM.
Applications of Fibonacci Numbers: Volume 6 Proceedings of ‘The Sixth International Research Conference on Fibonacci Numbers and Their Applications’, Washington State University, Pullman, Washington, U.S.A., July 18–22, 1994 by Peter G. Anderson (auth.), Professor Gerald E. Bergum, Professor Andreas N. Philippou, Professor Alwyn F. Horadam (eds.)